Closed form solutions of R-stress and stress singularity coefficient in rigid line problems

In this paper, the R-stress in the rigid line problem is defined, which is a counterpart of T-stress in the crack problem. The R-stress and the stress singularity coefficient in the rigid line problems are studied for three cases: (1) a rigid line with the applied remote stresses, (2) a rigid line with concentrated forces applied at a particular point, and (3) a rigid cusp inclusion with applied remote stresses. To meet the physical situation in the problem, the rigid lines are assumed in a floating state, or no moment is applied on the rigid line or inclusion. All three cases can be solved in a closed form by using the complex variable function method.

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